Solution of contaminant transport with equilibrium and non-equilibrium adsorption

In this paper we present a numerical approximation scheme for the solution of contaminant transport problems with diffusion and adsorption in equilibrium and non-equilibrium mode. The method is based on time stepping and operator splitting. The non-linear transport is solved semi-analytically via th...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2005-02, Vol.194 (2-5), p.479-489
Main Authors: Kačur, J., Malengier, B., Remešíková, M.
Format: Article
Language:English
Subjects:
Computational techniques
Dual-well flow
Earth sciences
Earth, ocean, space
Exact sciences and technology
Finite-element and galerkin methods
Hydrology
Hydrology. Hydrogeology
Mathematical methods in physics
Non-linear transport
Operator splitting
Physics
Transport of contaminants
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Summary:In this paper we present a numerical approximation scheme for the solution of contaminant transport problems with diffusion and adsorption in equilibrium and non-equilibrium mode. The method is based on time stepping and operator splitting. The non-linear transport is solved semi-analytically via the multiple Riemann problem, the non-linear diffusion by a finite volume method and by Newton’s type of linearisation, and finally the reaction part, incorporating the non-equilibrium adsorption, is transformed to an integral equation which is solved numerically using time discretization. Various results of numerical experiments are shown, and the method is applied to the practical dual-well problem.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2004.05.017